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Of the 60 animals on a certain farm, 2/3 are either cows or

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Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 27 Mar 2017, 06:57
Hi GMATters,

I've created a video explanation of the problem. Enjoy!

Rowan


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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 28 Mar 2017, 12:53
the trick is here with wording, statement one says "more than twice" confusing the test takers :D

60 animals, 2/3 are either cows or pigs, hence, 40=pigs+cows

1) this means that cows>2p when there are 40 total, so cows>26,6 (cows to pigs 2:1), or cows>=27
2) pigs>12, or pigs >=13
1+2) 27+13=40. the number of cows is 27

Answer is C

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 08 May 2017, 09:57
yangsta8 wrote:
Question stem says that 2/3 of 60 are pigs or cows.
That means 40 animals are pigs or cows.
So all we need to have sufficiency is either number of pigs or number of cows.

1) Farm has more than 2 cows for 1 pig (at least 26.6 animals of the 40 are cows).
This just tells us that the farm has at least 27 pigs and that the max number of cows is 13.
For example the farm could have 30 pigs and 10 cows.
Not a definitive number. Insufficient.

2) Farm has more than 12 pigs. Again not enough info. Insuff

1+2) Statements together tell us:
12 < number of pigs is <=13
Which means number pigs = 13
Number of cows = 27.

ANSWER = C.


For 1) don't you mean that max pigs is 13? Because if the number is 14 then the number of cows would have to be minimum 29. 29+14=41 - not allowed.

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 15 May 2017, 23:24
Its not mentioned that there are only these two animals in the farm. Based on that i chose option d. Is that wrong?

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 15 May 2017, 23:37
grt1993 wrote:
Its not mentioned that there are only these two animals in the farm. Based on that i chose option d. Is that wrong?

Posted from my mobile device


The correct answer to the question is C. It is given under the spoiler in the original post. You can check many different solutions on previous pages. To answer your question: of the 60 animals on a certain farm, 40 are either pigs or cows means that from the remaining 20 animals neither is either pig or cow (so 20 are some other animals).
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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 15 Jul 2017, 22:40
60 animals on a farm, 2/3 are either pigs or cows. How many are cows?

Ok, P + C = 40.

Statement 1: There are more than twice as many cows as pigs.

C > 2*P

P + C = 40
P = 40 - C

C > 2*(40 - C)
C > 80 - 2C
3C > 80
C > 80/3
C > 26.67

Keep in mind though, you cannot have 0.67 of a cow, so you rough up to 27 (because the relationship is "greater than"). Also, the inequality changes from '>' to '>=' when you round up to the nearest integer.

So the number of cows is greater than 27.......so 28, 29, 30, 31 etc. INSUFFICIENT.

Statement 2: The farm has more than 12 pigs.

On it's own, not helpful because it's unconstrained. We could have 13 pigs, or 14, or 40. INSUFFICIENT.

Statements 1 & 2:

Cows can be 27 or more (which makes pigs 13 or less). Pigs have to be greater than 12 though, so our answer is that there are 27 cows and 13 pigs.

(C)

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 22 Jul 2017, 23:19
Kindly help me understand this question. question says that 2/3 is either pig or cow. therefor either pig = 40 or cow = 40, but not that their sum is 40.

second option 1 says that more cows are more than 2 times of pigs. which means cow are more than pigs. which implies that population of cow is 40. since its more than pig. as per my understanding question clearly says that any one cow or pig is 40 in numbers.

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 23 Jul 2017, 04:29
Sushilait84 wrote:
Kindly help me understand this question. question says that 2/3 is either pig or cow. therefor either pig = 40 or cow = 40, but not that their sum is 40.

second option 1 says that more cows are more than 2 times of pigs. which means cow are more than pigs. which implies that population of cow is 40. since its more than pig. as per my understanding question clearly says that any one cow or pig is 40 in numbers.


Dear Sushilait84,

This issue is addressed several times on 4 pages of the discussion. Please read the whole thread before posting a question. There are a lot of interesting staff there which might help you understand the question better.

Also, note that this is a GMAT Prep question, which means that it's an official question, so both the wording and answer are 100% correct and accurate.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Of the 60 animals on a certain farm, 2/3 are either cows or [#permalink]

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New post 28 Nov 2017, 14:52
yangsta8 wrote:
Question stem says that 2/3 of 60 are pigs or cows.
That means 40 animals are pigs or cows.
So all we need to have sufficiency is either number of pigs or number of cows.

1) Farm has more than 2 cows for 1 pig (at least 26.6 animals of the 40 are cows).
This just tells us that the farm has at least 27 pigs and that the max number of cows is 13.
For example the farm could have 30 pigs and 10 cows.
Not a definitive number. Insufficient.

2) Farm has more than 12 pigs. Again not enough info. Insuff

1+2) Statements together tell us:
12 < number of pigs is <=13
Which means number pigs = 13
Number of cows = 27.

ANSWER = C.


Max number of pigs and not cows is 13.

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Re: Of the 60 animals on a certain farm, 2/3 are either cows or   [#permalink] 28 Nov 2017, 14:52

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